Ordinary Differential Equations (ODEs) can be used to model any process involving rates of change. Given Heraclitus' insight, you can see why ODEs are such an important tool in mathematical modeling.

The SIR model has proved incredibly useful in predicting the evolution of certain categories of infectious outbreaks and serves as our introduction to modeling systems with ODEs.

Using Verlet's method to solve the equation of motion of a pendulum, we will compare the true period to the approximated value given by the small-angle approximation.

A pendulum, made of a magnet, is moving over a surface with three fixed magnets. In this lab, we will determine the trajectory of the magnetic pendulum and explore some of its chaotic behaviour.